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Finding the Third Proportional to 54,539 and 115,669

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Solution

The third proportional to 54,539 and 115,669 is: 245,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,539 : 115,669 = 115,669 : x
  2. Step 2: Convert to fraction form
    54,539/115,669 = 115,669/x
  3. Step 3: Cross multiply
    54,539x = 115,669 × 115,669
  4. Step 4: Simplify right side
    54,539x = 13,379,317,561
  5. Step 5: Solve for x
    x = 13,379,317,561/54,539
  6. Step 6: Final answer
    x = 245,316.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.